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13302122112 = 273267172343
BaseRepresentation
bin11000110001101111…
…00100011010000000
31021100001021211002100
430120313210122000
5204220320401422
610035542350400
7650432113056
oct143067443200
937301254070
1013302122112
115706779254
1226b2a2b400
13133cb63696
149029321d6
1552cc2e7ac
hex318de4680

13302122112 has 96 divisors (see below), whose sum is σ = 38849784480. Its totient is φ = 4367835648.

The previous prime is 13302122101. The next prime is 13302122117. The reversal of 13302122112 is 21122120331.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (13302122117) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8988 + ... + 163355.

It is an arithmetic number, because the mean of its divisors is an integer number (404685255).

Almost surely, 213302122112 is an apocalyptic number.

13302122112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13302122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19424892240).

13302122112 is an abundant number, since it is smaller than the sum of its proper divisors (25547662368).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13302122112 is a wasteful number, since it uses less digits than its factorization.

13302122112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172430 (or 172415 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 13302122112 its reverse (21122120331), we get a palindrome (34424242443).

The spelling of 13302122112 in words is "thirteen billion, three hundred two million, one hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 67 72 96 128 134 144 192 201 268 288 384 402 536 576 603 804 1072 1152 1206 1608 2144 2412 3216 4288 4824 6432 8576 9648 12864 19296 25728 38592 77184 172343 344686 517029 689372 1034058 1378744 1551087 2068116 2757488 3102174 4136232 5514976 6204348 8272464 11029952 11546981 12408696 16544928 22059904 23093962 24817392 33089856 34640943 46187924 49634784 66179712 69281886 92375848 99269568 103922829 138563772 184751696 198539136 207845658 277127544 369503392 415691316 554255088 739006784 831382632 1108510176 1478013568 1662765264 2217020352 3325530528 4434040704 6651061056 13302122112